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Finding the Fourth Proportional to 509,353.14, 702,425.12 and 334,614.71

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Solution

The fourth proportional to 509,353.14, 702,425.12 and 334,614.71 is: 461,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,353.14 : 702,425.12 = 334,614.71 : x
  2. Step 2: Convert to fraction form
    509,353.14/702,425.12 = 334,614.71/x
  3. Step 3: Cross multiply
    509,353.14x = 702,425.12 × 334,614.71
  4. Step 4: Simplify right side
    509,353.14x = 235,041,777,908.50
  5. Step 5: Solve for x
    x = 235,041,777,908.50/509,353.14
  6. Step 6: Final answer
    x = 461,451.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.